Spectral distribution of twisted laplacian on typical hyperbolic surfaces of high genus
Y Gong - Communications in Mathematical Physics, 2024 - Springer
We investigate the spectral distribution of the twisted Laplacian associated with uniform
square-integrable bounded harmonic 1-form on typical hyperbolic surfaces of high genus …
square-integrable bounded harmonic 1-form on typical hyperbolic surfaces of high genus …
The twisted ruelle zeta function on compact hyperbolic orbisurfaces and reidemeister-turaev torsion
L Bénard, J Frahm, P Spilioti - arXiv preprint arXiv:2110.06683, 2021 - arxiv.org
Let $ X $ be a compact hyperbolic surface with finite order singularities, $ X_1 $ its unit
tangent bundle. We consider the Ruelle zeta function $ R (s;\rho) $ associated to a …
tangent bundle. We consider the Ruelle zeta function $ R (s;\rho) $ associated to a …
The spectral concentration for damped waves on compact Anosov manifolds
Y Gong - arXiv preprint arXiv:2411.02929, 2024 - arxiv.org
We study the spectral distribution of damped waves on compact Anosov manifolds. Sj\"
ostrand\cite {SJ1} proved that the imaginary parts of the majority of the eigenvalues …
ostrand\cite {SJ1} proved that the imaginary parts of the majority of the eigenvalues …
On the spectrum of twisted Laplacians and the Teichm\" uller representation
F Naud, P Spilioti - arXiv preprint arXiv:2205.09540, 2022 - arxiv.org
We consider Laplacians with non unitary twists acting on sections of flat vector bundles over
compact hyperbolic surfaces. These non self-adjoint Laplacians have discrete spectrum …
compact hyperbolic surfaces. These non self-adjoint Laplacians have discrete spectrum …
On the functional equation of twisted Ruelle zeta function and Fried's conjecture
J Jorgenson, M Lee, L Smajlovic - arXiv preprint arXiv:2402.02959, 2024 - arxiv.org
Let $ M $ be a finite volume hyperbolic Riemann surface with arbitrary signature, and let
$\chi $ be an arbitrary $ m $-dimensional multiplier system of weight $ k $. Let $ R (s,\chi) …
$\chi $ be an arbitrary $ m $-dimensional multiplier system of weight $ k $. Let $ R (s,\chi) …
Twisted Ruelle zeta function on hyperbolic manifolds and complex-valued analytic torsion
P Spilioti - arXiv preprint arXiv:2004.13474, 2020 - arxiv.org
In this paper, we study the twisted Ruelle zeta function associated with the geodesic flow of
a compact, hyperbolic, odd-dimensional manifold $ X $. The twisted Ruelle zeta function is …
a compact, hyperbolic, odd-dimensional manifold $ X $. The twisted Ruelle zeta function is …